What is the solution to this system of equations?

2x - y = 8

x + y = 4

A. (2, - 4)

B. (4, 0)

C. (6, 4)

D. (12, - 8)

Answer is B. (4,0)

Step-by-step explanation:

2x - y = 8

x + y = 4

solve the equation

2x - y = 8

y = 4 - x

substitute the value of y into the equation

2x - (4 - x) = 8

solve the equation

x = 4

substitute the value of x into an equation

y = 4 - 4

solve the equation

y = 0

answer is (4,0)